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Finding the Fourth Proportional to 76,257.44, 114,386.16 and 20,853.44

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Solution

The fourth proportional to 76,257.44, 114,386.16 and 20,853.44 is: 31,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,257.44 : 114,386.16 = 20,853.44 : x
  2. Step 2: Convert to fraction form
    76,257.44/114,386.16 = 20,853.44/x
  3. Step 3: Cross multiply
    76,257.44x = 114,386.16 × 20,853.44
  4. Step 4: Simplify right side
    76,257.44x = 2,385,344,924.39
  5. Step 5: Solve for x
    x = 2,385,344,924.39/76,257.44
  6. Step 6: Final answer
    x = 31,280.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.